10605252 has 48 divisors (see below), whose sum is σ = 28449792. Its totient is φ = 3012000.

The previous prime is 10605251. The next prime is 10605253. The reversal of 10605252 is 25250601.

It is an interprime number because it is at equal distance from previous prime (10605251) and next prime (10605253).

It is a super-2 number, since 2×10605252² = 224942739967008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10605251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20833 + ... + 21335.

It is an arithmetic number, because the mean of its divisors is an integer number (592704).

Almost surely, 2^10605252 is an apocalyptic number.

10605252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10605252 is an abundant number, since it is smaller than the sum of its proper divisors (17844540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10605252 is a wasteful number, since it uses less digits than its factorization.

10605252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10605252 is about 3256.5705888250. The cubic root of 10605252 is about 219.7051974241.

Adding to 10605252 its reverse (25250601), we get a palindrome (35855853).

The spelling of 10605252 in words is "ten million, six hundred five thousand, two hundred fifty-two".